{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb) | [Contents](Index.ipynb) | [In Depth: k-Means Clustering](05.11-K-Means.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.10-Manifold-Learning.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# In-Depth: Manifold Learning\n",
    "\n",
    "# 深入：流形学习"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> We have seen how principal component analysis (PCA) can be used in the dimensionality reduction task—reducing the number of features of a dataset while maintaining the essential relationships between the points.\n",
    "While PCA is flexible, fast, and easily interpretable, it does not perform so well when there are *nonlinear* relationships within the data; we will see some examples of these below.\n",
    "\n",
    "我们已经学习到主成分分析（PCA）可以用来进行降维，即减少数据集特征的数量却保留了数据点之间的关键关联。虽然PCA很灵活、快速和容易解释，它在数据之间存在*非线性*关系的时候表现不是特别好；我们会在下面的一些例子中看到。\n",
    "\n",
    "> To address this deficiency, we can turn to a class of methods known as *manifold learning*—a class of unsupervised estimators that seeks to describe datasets as low-dimensional manifolds embedded in high-dimensional spaces.\n",
    "When you think of a manifold, I'd suggest imagining a sheet of paper: this is a two-dimensional object that lives in our familiar three-dimensional world, and can be bent or rolled in that two dimensions.\n",
    "In the parlance of manifold learning, we can think of this sheet as a two-dimensional manifold embedded in three-dimensional space.\n",
    "\n",
    "要解决上面的问题，我们可以使用一类被称为*流形学习*的方法，这是一类无监督学习评估器试图使用低维度的流形来描述高纬度空间的数据集。当提到流形时，我们可以想象一张纸：这是一个二维的对象，处于我们熟悉的三维世界中，还能在这个基础上被弯曲或翻卷。如果类推到流形学习中，我们可以将这张纸看成是三维空间中的二维流形。\n",
    "\n",
    "> Rotating, re-orienting, or stretching the piece of paper in three-dimensional space doesn't change the flat geometry of the paper: such operations are akin to linear embeddings.\n",
    "If you bend, curl, or crumple the paper, it is still a two-dimensional manifold, but the embedding into the three-dimensional space is no longer linear.\n",
    "Manifold learning algorithms would seek to learn about the fundamental two-dimensional nature of the paper, even as it is contorted to fill the three-dimensional space.\n",
    "\n",
    "在三维空间中旋转、重定位或者延展这张纸不会改变制章的平面几何特性：这样的操作都可以归类为线性嵌入操作。如果你弯曲、卷曲或者翻卷纸张，它仍然是一个二维流形，但是这些操作在三维空间中不再是线性嵌入操作。流形学习算法会试图找到这张纸的二维本质，即使它卷曲延伸在一个三维空间中。\n",
    "\n",
    "> Here we will demonstrate a number of manifold methods, going most deeply into a couple techniques: multidimensional scaling (MDS), locally linear embedding (LLE), and isometric mapping (IsoMap).\n",
    "\n",
    "本节中我们会展示一些流形学习方法，底层主要依赖三个技巧：多维缩放（MDS）、本地线性嵌入（LLE）和等距映射（IsoMap）。\n",
    "\n",
    "> We begin with the standard imports:\n",
    "\n",
    "载入需要的包："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns; sns.set()\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Manifold Learning: \"HELLO\"\n",
    "\n",
    "## 流形学习的“HELLO”\n",
    "\n",
    "> To make these concepts more clear, let's start by generating some two-dimensional data that we can use to define a manifold.\n",
    "Here is a function that will create data in the shape of the word \"HELLO\":\n",
    "\n",
    "为令这些概念更加清晰，让我们首先创建一些二位数据可以用来定义流形。下面是一个我们用来创建一个“HELLO”形状的数据的函数定义："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_hello(N=1000, rseed=42):\n",
    "    # 创建一个“HELLO”形状的图像，保存为PNG\n",
    "    fig, ax = plt.subplots(figsize=(4, 1))\n",
    "    fig.subplots_adjust(left=0, right=1, bottom=0, top=1)\n",
    "    ax.axis('off')\n",
    "    ax.text(0.5, 0.4, 'HELLO', va='center', ha='center', weight='bold', size=85)\n",
    "    fig.savefig('hello.png')\n",
    "    plt.close(fig)\n",
    "    \n",
    "    # 打开图像，在HELLO字体附近随机绘制一些图像点\n",
    "    from matplotlib.image import imread\n",
    "    data = imread('hello.png')[::-1, :, 0].T\n",
    "    rng = np.random.RandomState(rseed)\n",
    "    X = rng.rand(4 * N, 2)\n",
    "    i, j = (X * data.shape).astype(int).T\n",
    "    mask = (data[i, j] < 1)\n",
    "    X = X[mask]\n",
    "    X[:, 0] *= (data.shape[0] / data.shape[1])\n",
    "    X = X[:N]\n",
    "    return X[np.argsort(X[:, 0])]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Let's call the function and visualize the resulting data:\n",
    "\n",
    "然后调用函数展示结果图像："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = make_hello(1000)\n",
    "colorize = dict(c=X[:, 0], cmap=plt.cm.get_cmap('rainbow', 5))\n",
    "plt.scatter(X[:, 0], X[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The output is two dimensional, and consists of points drawn in the shape of the word, \"HELLO\".\n",
    "This data form will help us to see visually what these algorithms are doing.\n",
    "\n",
    "输出结果是二维的，包括着沿着HELLO形绘制的点。这个数据会帮助我们可视化的展示算法的行为。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multidimensional Scaling (MDS)\n",
    "\n",
    "## 多维缩放（MDS）\n",
    "\n",
    "> Looking at data like this, we can see that the particular choice of *x* and *y* values of the dataset are not the most fundamental description of the data: we can scale, shrink, or rotate the data, and the \"HELLO\" will still be apparent.\n",
    "For example, if we use a rotation matrix to rotate the data, the *x* and *y* values change, but the data is still fundamentally the same:\n",
    "\n",
    "看到这样的数据，我们可以想象的到图中这些特殊选择的*x*和*y*值并不是数据最基础的描述：我们可以缩放或者旋转数据，这个HELLO形状仍然会很明显。例如，如果我们"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def rotate(X, angle):\n",
    "    theta = np.deg2rad(angle)\n",
    "    R = [[np.cos(theta), np.sin(theta)],\n",
    "         [-np.sin(theta), np.cos(theta)]]\n",
    "    return np.dot(X, R)\n",
    "    \n",
    "X2 = rotate(X, 20) + 5\n",
    "plt.scatter(X2[:, 0], X2[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> This tells us that the *x* and *y* values are not necessarily fundamental to the relationships in the data.\n",
    "What *is* fundamental, in this case, is the *distance* between each point and the other points in the dataset.\n",
    "A common way to represent this is to use a distance matrix: for $N$ points, we construct an $N \\times N$ array such that entry $(i, j)$ contains the distance between point $i$ and point $j$.\n",
    "Let's use Scikit-Learn's efficient ``pairwise_distances`` function to do this for our original data:\n",
    "\n",
    "上面的例子告诉我们数据集中的*x*和*y*值并不是数据关系中必不可少的基础成分。在这个情况下，最基础的是数据集每个点和其他点之间*距离*。使用距离矩阵来表示是一种通用的方法：对于$N$个点，我们构建一个$N \\times N$数组，数组中的元素$(i, j)$指代的是点$i$和点$j$之间的距离。下面我们使用Scikit-Learn中高效的`pairwise_distance`函数来为我们的原始数据创建距离矩阵："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 1000)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import pairwise_distances\n",
    "D = pairwise_distances(X)\n",
    "D.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> As promised, for our *N*=1,000 points, we obtain a 1000×1000 matrix, which can be visualized as shown here:\n",
    "\n",
    "意料之中，对于我们*N*=1000个点，我们获得了一个1000×1000的矩阵，我们可以如下可视化这个矩阵："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(D, zorder=2, cmap='Blues', interpolation='nearest')\n",
    "plt.colorbar();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> If we similarly construct a distance matrix for our rotated and translated data, we see that it is the same:\n",
    "\n",
    "如果我们同样的针对旋转和投射后的数据构建一个距离矩阵，我们就可以发现它们是相同的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "D2 = pairwise_distances(X2)\n",
    "np.allclose(D, D2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> This distance matrix gives us a representation of our data that is invariant to rotations and translations, but the visualization of the matrix above is not entirely intuitive.\n",
    "In the representation shown in this figure, we have lost any visible sign of the interesting structure in the data: the \"HELLO\" that we saw before.\n",
    "\n",
    "虽然这个距离矩阵为我们提供了数据对于旋转和投射不敏感的证据，但是对矩阵的可视化结果却是完全不直观的。在距离矩阵的可视化图中，我们损失了任何数据关键结构中的可视标志：也就是前面我们能看到的“HELLO”。\n",
    "\n",
    "> Further, while computing this distance matrix from the (x, y) coordinates is straightforward, transforming the distances back into *x* and *y* coordinates is rather difficult.\n",
    "This is exactly what the multidimensional scaling algorithm aims to do: given a distance matrix between points, it recovers a $D$-dimensional coordinate representation of the data.\n",
    "Let's see how it works for our distance matrix, using the ``precomputed`` dissimilarity to specify that we are passing a distance matrix:\n",
    "\n",
    "还有就是，虽然从(x, y)坐标中计算得到距离矩阵是很直接的，但是将距离矩阵转换回(x, y)坐标却是非常困难的。这正是多维缩放算法的目标：给定点之间的距离矩阵，将其还原成一个$D$维坐标的数据表示。在我们的距离矩阵上使用`precomputed`不相似度来指定我们传递的是距离矩阵："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import MDS\n",
    "model = MDS(n_components=2, dissimilarity='precomputed', random_state=1)\n",
    "out = model.fit_transform(D)\n",
    "plt.scatter(out[:, 0], out[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The MDS algorithm recovers one of the possible two-dimensional coordinate representations of our data, using *only* the $N\\times N$ distance matrix describing the relationship between the data points.\n",
    "\n",
    "MDS算法还原了我们数据的一种可能的二维坐标表示，仅仅使用了描述数据点之间关系的$N \\times N$的距离矩阵。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MDS as Manifold Learning\n",
    "\n",
    "## MDS进行流形学习\n",
    "\n",
    "> The usefulness of this becomes more apparent when we consider the fact that distance matrices can be computed from data in *any* dimension.\n",
    "So, for example, instead of simply rotating the data in the two-dimensional plane, we can project it into three dimensions using the following function (essentially a three-dimensional generalization of the rotation matrix used earlier):\n",
    "\n",
    "当我们考虑到距离矩阵可以从*任何*维度的数据中计算得到时，上述特性变得更加明显。例如，我们可以将“HELLO”投射到3维中而不是上面的二维旋转，使用下面的函数（基本上就是前面的矩阵旋转函数的三维通用版本）即可实现："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 3)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def random_projection(X, dimension=3, rseed=42):\n",
    "    assert dimension >= X.shape[1]\n",
    "    rng = np.random.RandomState(rseed)\n",
    "    C = rng.randn(dimension, dimension)\n",
    "    e, V = np.linalg.eigh(np.dot(C, C.T))\n",
    "    return np.dot(X, V[:X.shape[1]])\n",
    "    \n",
    "X3 = random_projection(X, 3)\n",
    "X3.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Let's visualize these points to see what we're working with:\n",
    "\n",
    "将这些三维中投射的点可视化出来："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter3D(X3[:, 0], X3[:, 1], X3[:, 2],\n",
    "             **colorize)\n",
    "ax.view_init(azim=70, elev=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> We can now ask the ``MDS`` estimator to input this three-dimensional data, compute the distance matrix, and then determine the optimal two-dimensional embedding for this distance matrix.\n",
    "The result recovers a representation of the original data:\n",
    "\n",
    "我们可以将这个三维数据作为输入代入`MDS`评估器，计算距离矩阵，然后求出该距离矩阵最优化的二维表示。结果还原了原始数据的最基础特征："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = MDS(n_components=2, random_state=1)\n",
    "out3 = model.fit_transform(X3)\n",
    "plt.scatter(out3[:, 0], out3[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> This is essentially the goal of a manifold learning estimator: given high-dimensional embedded data, it seeks a low-dimensional representation of the data that preserves certain relationships within the data.\n",
    "In the case of MDS, the quantity preserved is the distance between every pair of points.\n",
    "\n",
    "这就是流形学习评估器的最基本目标：给定高维度的数据，它能找到一个低维度的数据表示，并且保留大部分数据之间的联系。在MDS算法中，被保留下来的数量是每两个点之间的距离。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Nonlinear Embeddings: Where MDS Fails\n",
    "\n",
    "## 非线性嵌入：MDS会失效\n",
    "\n",
    "> Our discussion thus far has considered *linear* embeddings, which essentially consist of rotations, translations, and scalings of data into higher-dimensional spaces.\n",
    "Where MDS breaks down is when the embedding is nonlinear—that is, when it goes beyond this simple set of operations.\n",
    "Consider the following embedding, which takes the input and contorts it into an \"S\" shape in three dimensions:\n",
    "\n",
    "目前为止我们讨论的都是*线性*嵌入，基本上就是包括将数据旋转、转换和缩放到高维空间。MDS会在非线性嵌入的情况下失效：即该情况超越了这组简单的操作。考虑下面这种嵌入，函数会将输入扭曲成一个三维空间中的“S”形状："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_hello_s_curve(X):\n",
    "    t = (X[:, 0] - 2) * 0.75 * np.pi\n",
    "    x = np.sin(t)\n",
    "    y = X[:, 1]\n",
    "    z = np.sign(t) * (np.cos(t) - 1)\n",
    "    return np.vstack((x, y, z)).T\n",
    "\n",
    "XS = make_hello_s_curve(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is again three-dimensional data, but we can see that the embedding is much more complicated:\n",
    "\n",
    "结果还是三维数据，但是我们可以看到这个嵌入比前面复杂多了："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.scatter3D(XS[:, 0], XS[:, 1], XS[:, 2],\n",
    "             **colorize);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The fundamental relationships between the data points are still there, but this time the data has been transformed in a nonlinear way: it has been wrapped-up into the shape of an \"S.\"\n",
    "\n",
    "数据点之间的基本关系仍然保留下来了，但是这次数据被转换成了非线性形状：它们被封装成了一个“S”的形状。\n",
    "\n",
    "> If we try a simple MDS algorithm on this data, it is not able to \"unwrap\" this nonlinear embedding, and we lose track of the fundamental relationships in the embedded manifold:\n",
    "\n",
    "如果我们在这之上尝试简单的MDS算法，它将无法对这种非线性嵌入进行解封装，也就是我们失去了这个嵌入流形的基础关系："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import MDS\n",
    "model = MDS(n_components=2, random_state=2)\n",
    "outS = model.fit_transform(XS)\n",
    "plt.scatter(outS[:, 0], outS[:, 1], **colorize)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The best two-dimensional *linear* embeding does not unwrap the S-curve, but instead throws out the original y-axis.\n",
    "\n",
    "二维最好的“线性”嵌入无法将S曲线解封装，而是直接返回了原始数据的y轴。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Nonlinear Manifolds: Locally Linear Embedding\n",
    "\n",
    "## 非线性流形：本地线性嵌入\n",
    "\n",
    "> How can we move forward here? Stepping back, we can see that the source of the problem is that MDS tries to preserve distances between faraway points when constructing the embedding.\n",
    "But what if we instead modified the algorithm such that it only preserves distances between nearby points?\n",
    "The resulting embedding would be closer to what we want.\n",
    "\n",
    "我们该如何进行下去呢？回想一下，我们发现问题的根源在于MDS保留了相隔很远的点之间的距离。如果我们修改一下算法，让它仅仅保留附近的点之间的距离呢？结果的嵌入方式会更加接近我们希望得到的。\n",
    "\n",
    "> Visually, we can think of it as illustrated in this figure:\n",
    "\n",
    "从下面的图像中我们可以看到两者之间的区别："
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![(LLE vs MDS linkages)](figures/05.10-LLE-vs-MDS.png)\n",
    "[附录中生成图像的代码](06.00-Figure-Code.ipynb#LLE-vs-MDS-Linkages)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Here each faint line represents a distance that should be preserved in the embedding.\n",
    "On the left is a representation of the model used by MDS: it tries to preserve the distances between each pair of points in the dataset.\n",
    "On the right is a representation of the model used by a manifold learning algorithm called locally linear embedding (LLE): rather than preserving *all* distances, it instead tries to preserve only the distances between *neighboring points*: in this case, the nearest 100 neighbors of each point.\n",
    "\n",
    "上面每条淡色的线条代表着在嵌入算法中需要保留的距离。左图表示的MDS算法：它保留了数据集中每一对点之间的距离。右图展示的是被称为本地线性嵌入（LLE）的一种流形学习算法：与其保留*所有*距离，它仅仅保留了哪些*邻近点*之间的距离：在这个例子中，每个点都有100个最邻近的点。\n",
    "\n",
    "> Thinking about the left panel, we can see why MDS fails: there is no way to flatten this data while adequately preserving the length of every line drawn between the two points.\n",
    "For the right panel, on the other hand, things look a bit more optimistic. We could imagine unrolling the data in a way that keeps the lengths of the lines approximately the same.\n",
    "This is precisely what LLE does, through a global optimization of a cost function reflecting this logic.\n",
    "\n",
    "再次考虑左图，我们可以发现MDS失效的原因：它无法将这些距离数据平铺出来，因为每两个点之间的距离都被保留了下来。对于右图来说，情况乐观得多，我们可以想象成沿着S形状将数据展开出来，因为不沿着这个形状的两点之间的距离并没有被保留下来。这就是LLE的原理，通过一个反映该逻辑的损失函数进行全局的优化。\n",
    "\n",
    "> LLE comes in a number of flavors; here we will use the *modified LLE* algorithm to recover the embedded two-dimensional manifold.\n",
    "In general, modified LLE does better than other flavors of the algorithm at recovering well-defined manifolds with very little distortion:\n",
    "\n",
    "LLE有许多的方式；这里我们采用了改良LLE（*modified LLE*）算法来还原嵌入的二维流形。在通常情况下，改良LLE在还原良好定义流形的实践中要比其他算法的表现都要优异，造成的扭曲非常少："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import LocallyLinearEmbedding\n",
    "model = LocallyLinearEmbedding(n_neighbors=100, n_components=2, method='modified',\n",
    "                               eigen_solver='dense')\n",
    "out = model.fit_transform(XS)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(out[:, 0], out[:, 1], **colorize)\n",
    "ax.set_ylim(0.15, -0.15);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The result remains somewhat distorted compared to our original manifold, but captures the essential relationships in the data!\n",
    "\n",
    "结果和原始流形比较还是存在一些变形，但是它还是捕获了数据中的关键关系。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Some Thoughts on Manifold Methods\n",
    "\n",
    "## 关于流形方法的一些思考"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Though this story and motivation is compelling, in practice manifold learning techniques tend to be finicky enough that they are rarely used for anything more than simple qualitative visualization of high-dimensional data.\n",
    "\n",
    "虽然本节以及上面讲述很吸引人，但是实践中流形学习技巧却是非常挑剔的，导致它们很少在除了将高纬度数据进行数值可视化领域外使用。\n",
    "\n",
    "> The following are some of the particular challenges of manifold learning, which all contrast poorly with PCA:\n",
    "\n",
    "> - In manifold learning, there is no good framework for handling missing data. In contrast, there are straightforward iterative approaches for missing data in PCA.\n",
    "- In manifold learning, the presence of noise in the data can \"short-circuit\" the manifold and drastically change the embedding. In contrast, PCA naturally filters noise from the most important components.\n",
    "- The manifold embedding result is generally highly dependent on the number of neighbors chosen, and there is generally no solid quantitative way to choose an optimal number of neighbors. In contrast, PCA does not involve such a choice.\n",
    "- In manifold learning, the globally optimal number of output dimensions is difficult to determine. In contrast, PCA lets you find the output dimension based on the explained variance.\n",
    "- In manifold learning, the meaning of the embedded dimensions is not always clear. In PCA, the principal components have a very clear meaning.\n",
    "- In manifold learning the computational expense of manifold methods scales as O[N^2] or O[N^3]. For PCA, there exist randomized approaches that are generally much faster (though see the [megaman](https://github.com/mmp2/megaman) package for some more scalable implementations of manifold learning).\n",
    "\n",
    "下面列出了一些流形学习的缺点，基本上都是与PCA比较的：\n",
    "\n",
    "- 在流形学习中，没有好的框架来处理缺失数据。相反在PCA中，有很多直接和有效的方法实现缺失数据处理。\n",
    "- 在流形学习中，数据中的噪声可能会导致流形“短路”从而剧烈的改变嵌入结果。相反，PCA可以在最重要成分之外很自然的过滤噪声。\n",
    "- 流形嵌入结果通常高度依赖于临近点个数的选择，并且没有通用的可证的数值方法来选择邻近点数量的最优解。相反，PCA不存在这样的选择。\n",
    "- 在流形学习中，输出维度的全局最优解很难得到。相反，PCA通过可解释方差可以找到输出维度的全局最优解。\n",
    "- 在流形学习中，嵌入维度的含义并不总是清晰的。PCA中的主成分有着非常明确的含义。\n",
    "- 流形学习中流形算法的计算复杂度通常是O[N^2]或O[N^3]。而PCA存在随机方法，通常计算快许多（当然你也可以参看[megaman](https://github.com/mmp2/megaman)包，这里包含一些更具扩展性的流形学习的计算实现）。\n",
    "\n",
    "> With all that on the table, the only clear advantage of manifold learning methods over PCA is their ability to preserve nonlinear relationships in the data; for that reason I tend to explore data with manifold methods only after first exploring them with PCA.\n",
    "\n",
    "有了上表列出的这些缺点，流形学习对比PCA只有一个明显的有点，就是它能保留数据中的非线性关系；因此，当你对数据完成了PCA分析之后，再采用流形学习方法。\n",
    "\n",
    "> Scikit-Learn implements several common variants of manifold learning beyond Isomap and LLE: the Scikit-Learn documentation has a [nice discussion and comparison of them](http://scikit-learn.org/stable/modules/manifold.html).\n",
    "Based on my own experience, I would give the following recommendations:\n",
    "\n",
    "> - For toy problems such as the S-curve we saw before, locally linear embedding (LLE) and its variants (especially *modified LLE*), perform very well. This is implemented in ``sklearn.manifold.LocallyLinearEmbedding``.\n",
    "- For high-dimensional data from real-world sources, LLE often produces poor results, and isometric mapping (IsoMap) seems to generally lead to more meaningful embeddings. This is implemented in ``sklearn.manifold.Isomap``\n",
    "- For data that is highly clustered, *t-distributed stochastic neighbor embedding* (t-SNE) seems to work very well, though can be very slow compared to other methods. This is implemented in ``sklearn.manifold.TSNE``.\n",
    "\n",
    "Scikit-Learn除了Isomap和LLE之外，还实现了一些常见的流形学习方法变体：Scikit-Learn文档中有一篇[很好的针对它们的讨论和比较文章](http://scikit-learn.org/stable/modules/manifold.html)。基于作者自身的经验，给出了下面的一些建议：\n",
    "\n",
    "- 对于一些玩具问题，例如我们前面看到的S曲线，本地线性嵌入（LLE）和它的变体（特别是改良LLE）表现的很优秀。它们实现在`sklearn.manifold.LocallyLinearEmbedding`。\n",
    "- 对于真实世界中的高维度数据，LLE经常产生很差的结果，而等距映射（IsoMap）通常会得到更加有意义的嵌入。它们实现在`sklearn.manifold.Isomap`。\n",
    "- 对于高度聚集的数据，T-分布随机近邻嵌入（t-SNE）工作的较好，虽然相对其他方法来说它非常慢。它们实现在`sklearn.manifold.TSNE`。\n",
    "\n",
    "> If you're interested in getting a feel for how these work, I'd suggest running each of the methods on the data in this section.\n",
    "\n",
    "如果你对于这些算法的工作原理感兴趣，作者建议在本节的数据例子上运行每一个方法来查看结果。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Isomap on Faces\n",
    "\n",
    "## 例子：人脸数据上使用Isomap\n",
    "\n",
    "> One place manifold learning is often used is in understanding the relationship between high-dimensional data points.\n",
    "A common case of high-dimensional data is images: for example, a set of images with 1,000 pixels each can be thought of as a collection of points in 1,000 dimensions – the brightness of each pixel in each image defines the coordinate in that dimension.\n",
    "\n",
    "流形学习经常被用来理解高维度数据点之间的关系。图像是高维度数据的常见场景：例如，一组的1000像素点的图像，其中的每一张都可以被认为是1000维数据点的集合，每个像素的亮度定义了该维度的坐标值。\n",
    "\n",
    "> Here let's apply Isomap on some faces data.\n",
    "We will use the Labeled Faces in the Wild dataset, which we previously saw in [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb) and [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb).\n",
    "Running this command will download the data and cache it in your home directory for later use:\n",
    "\n",
    "下面我们将Isomap算法应用到一些人脸数据上。我们继续使用Wild数据集中的标签人脸数据，我们在前面的[深入：支持向量机](05.07-Support-Vector-Machines.ipynb) and [深入：主成分分析](05.09-Principal-Component-Analysis.ipynb)中都使用过它。使用下面的命令会下载数据并将其缓存在你的主目录中："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2370, 2914)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=30)\n",
    "faces.data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> We have 2,370 images, each with 2,914 pixels.\n",
    "In other words, the images can be thought of as data points in a 2,914-dimensional space!\n",
    "\n",
    "我们有2370张图像，每张都是2914个像素。换言之，每张图像都可以被认为是在2914维空间中的数据点的集合。\n",
    "\n",
    "> Let's quickly visualize several of these images to see what we're working with:\n",
    "\n",
    "我们展示部分图像，看看我们的数据集是怎样的："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 32 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 8, subplot_kw=dict(xticks=[], yticks=[]))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(faces.images[i], cmap='gray')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> We would like to plot a low-dimensional embedding of the 2,914-dimensional data to learn the fundamental relationships between the images.\n",
    "One useful way to start is to compute a PCA, and examine the explained variance ratio, which will give us an idea of how many linear features are required to describe the data:\n",
    "\n",
    "我们希望绘制这些2914维数据的低维度嵌入，从而获得这些图像之间的基本关系。从计算PCA开始是一个不错的办法，然后检查可解释方差的比率，能为我们提供描述数据所需的线性特征值数量的基本概念："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA as RandomizedPCA\n",
    "model = RandomizedPCA(100).fit(faces.data)\n",
    "plt.plot(np.cumsum(model.explained_variance_ratio_))\n",
    "plt.xlabel('n components')\n",
    "plt.ylabel('cumulative variance');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> We see that for this data, nearly 100 components are required to preserve 90% of the variance: this tells us that the data is intrinsically very high dimensional—it can't be described linearly with just a few components.\n",
    "\n",
    "我们从上图可见，接近100个成分就能保留90%的差异：这告诉我们，这些数据本质上就是非常高维度的，它无法仅使用几个成分进行线性描述。\n",
    "\n",
    "> When this is the case, nonlinear manifold embeddings like LLE and Isomap can be helpful.\n",
    "We can compute an Isomap embedding on these faces using the same pattern shown before:\n",
    "\n",
    "这种情况下，非线性流形嵌入如LLE和Isomap比较有帮助。我们可以使用Isomap嵌入来计算这些人脸数据的二维投射："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2370, 2)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.manifold import Isomap\n",
    "model = Isomap(n_components=2)\n",
    "proj = model.fit_transform(faces.data)\n",
    "proj.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The output is a two-dimensional projection of all the input images.\n",
    "To get a better idea of what the projection tells us, let's define a function that will output image thumbnails at the locations of the projections:\n",
    "\n",
    "输出结果是所有输入图像的二维投射。要获得这个二维投射的意义，我们定义一个函数，它会将相应的缩略图绘制在投射点的对应位置："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import offsetbox\n",
    "\n",
    "def plot_components(data, model, images=None, ax=None,\n",
    "                    thumb_frac=0.05, cmap='gray'):\n",
    "    ax = ax or plt.gca()\n",
    "    \n",
    "    proj = model.fit_transform(data)\n",
    "    ax.plot(proj[:, 0], proj[:, 1], '.k')\n",
    "    \n",
    "    if images is not None:\n",
    "        min_dist_2 = (thumb_frac * max(proj.max(0) - proj.min(0))) ** 2\n",
    "        shown_images = np.array([2 * proj.max(0)])\n",
    "        for i in range(data.shape[0]):\n",
    "            dist = np.sum((proj[i] - shown_images) ** 2, 1)\n",
    "            if np.min(dist) < min_dist_2:\n",
    "                # 如果两点距离太近，不显示\n",
    "                continue\n",
    "            shown_images = np.vstack([shown_images, proj[i]])\n",
    "            imagebox = offsetbox.AnnotationBbox(\n",
    "                offsetbox.OffsetImage(images[i], cmap=cmap),\n",
    "                                      proj[i])\n",
    "            ax.add_artist(imagebox)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calling this function now, we see the result:\n",
    "\n",
    "调用函数获得结果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "plot_components(faces.data,\n",
    "                model=Isomap(n_components=2),\n",
    "                images=faces.images[:, ::2, ::2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The result is interesting: the first two Isomap dimensions seem to describe global image features: the overall darkness or lightness of the image from left to right, and the general orientation of the face from bottom to top.\n",
    "This gives us a nice visual indication of some of the fundamental features in our data.\n",
    "\n",
    "这个结果很有趣：Isomap头两个维度看起来描述图像中的通用特征：从左到右是图像的亮度或暗度的变化，从上到下是图像中人脸方向的变化。这能为我们提供关于数据关键特征的很好的可视化指示。\n",
    "\n",
    "> We could then go on to classify this data (perhaps using manifold features as inputs to the classification algorithm) as we did in [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb).\n",
    "\n",
    "然后我们可以继续对数据进行分类（使用流形特征作为分类算法的输入），正如我们在[深入：支持向量机](05.07-Support-Vector-Machines.ipynb)中做的那样。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Visualizing Structure in Digits\n",
    "\n",
    "## 例子：手写数字的结构可视化\n",
    "\n",
    "> As another example of using manifold learning for visualization, let's take a look at the MNIST handwritten digits set.\n",
    "This data is similar to the digits we saw in [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb), but with many more pixels per image.\n",
    "It can be downloaded from http://mldata.org/ with the Scikit-Learn utility:\n",
    "\n",
    "下面我们使用MNIST手写数字数据集来作为流形学习可视化数据的另外一个例子。这个数据集与[深入：决策树和随机森林](05.08-Random-Forests.ipynb)中的类似，但是每张图像有着更多的像素点。它可以使用Scikit-Learn工具从http://mldata.org/ 下载：\n",
    "\n",
    "译者注：fetch_mldata已经无法从mldata.org中获得数据集，事实上mldata.org已经停止服务。同样使用fetch_openml替换也会发生错误，原因猜测是无法描述吧。你可以在[MNIST MAT文件](https://github.com/amplab/datascience-sp14/raw/master/lab7/mldata/mnist-original.mat)下载本节所需的数据集文件，然后将它放置在$HOME/scikit_learn_data/mldata目录中，如果目录不存在就创建它：\n",
    "\n",
    "```bash\n",
    "mkdir -p $HOME/scikit_learn_data/mldata\n",
    "```\n",
    "\n",
    "然后就不需要从网络中下载了。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/wangy/anaconda3/lib/python3.7/site-packages/sklearn/utils/deprecation.py:85: DeprecationWarning: Function fetch_mldata is deprecated; fetch_mldata was deprecated in version 0.20 and will be removed in version 0.22. Please use fetch_openml.\n",
      "  warnings.warn(msg, category=DeprecationWarning)\n",
      "/home/wangy/anaconda3/lib/python3.7/site-packages/sklearn/utils/deprecation.py:85: DeprecationWarning: Function mldata_filename is deprecated; mldata_filename was deprecated in version 0.20 and will be removed in version 0.22. Please use fetch_openml.\n",
      "  warnings.warn(msg, category=DeprecationWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(70000, 784)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_mldata\n",
    "mnist = fetch_mldata('MNIST original')\n",
    "mnist.data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> This consists of 70,000 images, each with 784 pixels (i.e. the images are 28×28).\n",
    "As before, we can take a look at the first few images:\n",
    "\n",
    "我们看到这个数据集包含70000张图，每张图有784个像素点（即28×28规格）。惯例上我们先看看数据集前面的部分图像："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 48 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(6, 8, subplot_kw=dict(xticks=[], yticks=[]))\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(mnist.data[1250 * i].reshape(28, 28), cmap='gray_r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> This gives us an idea of the variety of handwriting styles in the dataset.\n",
    "\n",
    "上图可以让我们大概看到手写数字的一些不同的风格。\n",
    "\n",
    "> Let's compute a manifold learning projection across the data.\n",
    "For speed here, we'll only use 1/30 of the data, which is about ~2000 points\n",
    "(because of the relatively poor scaling of manifold learning, I find that a few thousand samples is a good number to start with for relatively quick exploration before moving to a full calculation):\n",
    "\n",
    "下面我们来计算这个数据集的流形学习投射。因为速度原因，这里仅使用了数据集的1/30，也就是大约2000个点（因为流形学习相对较高的计算复杂度，作者认为几千个样本是一个比较合适的数据集大小，如果需要深入，再进行全样本集的计算）："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 仅适用1/30的数据，全数据集将花费很长的时间\n",
    "data = mnist.data[::30]\n",
    "target = mnist.target[::30]\n",
    "\n",
    "model = Isomap(n_components=2)\n",
    "proj = model.fit_transform(data)\n",
    "plt.scatter(proj[:, 0], proj[:, 1], c=target, cmap=plt.cm.get_cmap('jet', 10))\n",
    "plt.colorbar(ticks=range(10))\n",
    "plt.clim(-0.5, 9.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The resulting scatter plot shows some of the relationships between the data points, but is a bit crowded.\n",
    "We can gain more insight by looking at just a single number at a time:\n",
    "\n",
    "结果中的散点图展示了数据点之间的一些关系，但是看起来显得有点拥挤。我们可以通过一次只看一个数字来获得更加清晰的展示效果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import Isomap\n",
    "\n",
    "# 选择1/4的数字1进行展示分析\n",
    "data = mnist.data[mnist.target == 1][::4]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 10))\n",
    "model = Isomap(n_neighbors=5, n_components=2, eigen_solver='dense')\n",
    "plot_components(data, model, images=data.reshape((-1, 28, 28)),\n",
    "                ax=ax, thumb_frac=0.05, cmap='gray_r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The result gives you an idea of the variety of forms that the number \"1\" can take within the dataset.\n",
    "The data lies along a broad curve in the projected space, which appears to trace the orientation of the digit.\n",
    "As you move up the plot, you find ones that have hats and/or bases, though these are very sparse within the dataset.\n",
    "The projection lets us identify outliers that have data issues: for example, pieces of the neighboring digits that snuck into the extracted images.\n",
    "\n",
    "上面的结果展示了不同风格书写的数字一在三点钟的分布情况。这些数据点分布在一个宽的弧形区域中，观察可知沿着弧形变化的是数字1的书写方向。图中中上部的数字1都戴着帽子和/或划了底座，但是它们通常离散与户型区域之外。这个投射情况也能让我们发现一些数据本身的缺陷问题：例如，部分邻近的数字被划到了提取出来的图像当中。\n",
    "\n",
    "> Now, this in itself may not be useful for the task of classifying digits, but it does help us get an understanding of the data, and may give us ideas about how to move forward, such as how we might want to preprocess the data before building a classification pipeline.\n",
    "\n",
    "因此，这不是我们用来作为数字分类的好工具，但是它能帮助我们理解数据集本身，还可以为我们提供一些好的想法，例如在我们创建分类器处理之前可能可以对数据进行预处理。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb) | [Contents](Index.ipynb) | [In Depth: k-Means Clustering](05.11-K-Means.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.10-Manifold-Learning.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  }
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